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On Chowla sequences in $(S^1\cup \{0\})^\mathbb{N}$

來源:復旦大學數學科學學院 | 2019-07-22 | 發布:經管之家

報告題目: On Chowla sequences in $(S^1\cup \{0\})^\mathbb{N}$報 告 人:史汝西 報告人所在單位:芬蘭 奧盧大學報告日期:2019-07-24 星期三報告時間:16:30-17:20報告地點:光華東主樓1801報告摘要:
The Chowla sequences and Sarnak sequences taking values in $\{-1,0,1\}$ were introduced by El Houcein el Abdalaoui, Joanna Kuaga-Przymus, Mariusz Lemańczyk and Thierry De La Rue for studying Chowla's conjecture and Sarnak's conjecture from ergodic theory point of view. One of their results is that Chowla sequences are always Sarnak sequences, and consequently orthogonal to all topological dynamical systems of zero entropy. In this talk, I will explain how to generalize Chowla sequences from $\{-1,0,1\}^\mathbb{N}$ to $(S^1\cup \{0\})^\mathbb{N}$. As an application, I will show that for almost all $\beta>1$, the sequences $(e^{2\pi i \beta^n})_{n\in \mathbb{N}}$ are Chowla sequences and consequently orthogonal to all topological dynamical systems of zero entropy.

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本年度學院報告總序號:173
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